BENCHMARK 1 STUDY GUIDE (21-22BM1)

Front

What is the process of combining like terms in an expression?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. For example, in the expression 14y + 6y + y, you combine the coefficients (14 + 6 + 1) to get 21y.

Front

What is the equivalent expression for 2 x 2 + 4 x 4 x 4?

Back

Front

How do you determine the location of point X if it is 8 less than point W located at -6?

Back

To find point X, subtract 8 from -6: -6 - 8 = -14. Therefore, point X is located at -14.

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Back

Front

What does the expression 2L + 2W represent in geometry?

Back

The expression 2L + 2W represents the perimeter of a rectangle, where L is the length and W is the width.

Front

If L = 15 inches and W = 4 inches, what is the perimeter of the rectangle?

Back

The perimeter is calculated as 2(15) + 2(4) = 30 + 8 = 38 inches.

Front

What are like terms in an algebraic expression?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 3y are not.

Front

What is the formula for the perimeter of a rectangle?

Back

The formula for the perimeter of a rectangle is P = 2L + 2W, where L is the length and W is the width.

Front

How do you simplify the expression 14y + 6y + y?

Back

To simplify, combine the coefficients: 14 + 6 + 1 = 21, so the expression simplifies to 21y.

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Back